Problem solving with graph transformations
I can use my knowledge of graph transformations to solve problems.
Problem solving with graph transformations
I can use my knowledge of graph transformations to solve problems.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Your knowledge of identifying transformations of shapes can be applied to graphs
- This allows you to identify what transformations have taken place
- Once the transformations have been identified, you can write this in function notation
Keywords
Transformation - A transformation is a process that may change the size, orientation or position of a shape or graph.
Common misconception
Pupils may not see the link between transformations and manipulating algebraic expressions.
Be explicit in highlighting that the graph of $$y=x^2+10x+22$$ is the graph of $$y=(x+5)^2-3$$ which is the graph of $$y=x^2$$ transformed by the translation, \"$$5$$ units left, $$3$$ units down\".
To help you plan your year 11 maths lesson on: Problem solving with graph transformations, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Problem solving with graph transformations, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Transformations of graphs unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Starter quiz
6 Questions
$$ \text {f}(x) + 5$$ -
Translation of 5 in the positive $$y$$ direction
$$ \text {f}(x+5) $$ -
Translation of 5 in the negative $$x$$ direction
$$ \text {f}(5x)$$ -
Stretch of $$1 \over 5$$ in the $$x$$ direction
$$5 \text {f}(x) $$ -
Stretch of 5 in the $$y$$ direction
$$ -\text {f}(x) $$ -
Reflection in the $$x$$ axis
$$ \text {f}(-x) $$ -
Reflection in the $$y$$ axis
Exit quiz
6 Questions
$$\text {f}(x+3)$$ -
$$y=1$$
$$\text {f}(x)+3$$ -
$$y=4$$
$$3\text {f}(x)$$ -
$$y=3$$
$$-\text {f}(x)$$ -
$$y=-1$$